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Finding the Fourth Proportional to 5,222.46, 7,204.47 and 3,805.47

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Solution

The fourth proportional to 5,222.46, 7,204.47 and 3,805.47 is: 5,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.46 : 7,204.47 = 3,805.47 : x
  2. Step 2: Convert to fraction form
    5,222.46/7,204.47 = 3,805.47/x
  3. Step 3: Cross multiply
    5,222.46x = 7,204.47 × 3,805.47
  4. Step 4: Simplify right side
    5,222.46x = 27,416,394.45
  5. Step 5: Solve for x
    x = 27,416,394.45/5,222.46
  6. Step 6: Final answer
    x = 5,249.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.